Can anyone tell me what is the plot for max(abs(x),abs(y),abs(z))=1

The points such that $\max(|x|,|y|,|z|)\leq1$ are does in which $x,y$ and $z$ are all in $[-1,1]$. In other words they form a cube.

The points such that $\max(|x|,|y|,|z|)=1$ are those in which at least one of the points is equal to $\pm1$. These are the faces of the cube.

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Joyce

Updated on December 09, 2022